Overseas compliance management is crucial for multinationals to operate with high character, but existing research has paid little attention to emerging multinationals’ overseas misconduct. Focusing on different directions and the interaction of the institutional gap and aspiration gap, we conducted an empirical analysis of a sample of Chinese multinationals who engaged in outward direct investment from 2009 to 2021 and found that in the case of a negative institutional gap, there is a positive linear correlation between a positive/negative aspiration gap and overseas misconduct. In the case of apositive institutional gap, there is a U-shaped relationship between a positive aspiration gap and overseas misconduct, and an inverted U-shaped relationship between a negative aspiration gap and overseas misconduct. Research conclusions bridge the divergence of the institutional paradox and aspiration paradox, provide a nuanced understanding on overseas misconduct, and distinguish different situations to guide emerging multinationals to operate in compliance overseas.